Simplify (5.6x10^13)(7x10^-2)/2.45x10^6
I need some help
1.6 x10^6
if it's not correct would you please explain
it's correct
To simplify the expression (5.6x10^13)(7x10^-2)/2.45x10^6, we can follow these steps:
Step 1: Multiply the numerical coefficients: (5.6)(7) = 39.2.
Step 2: Multiply the powers of 10 in the numerator: 10^13 multiplied by 10^-2 equals 10^(13+(-2)) = 10^11.
Step 3: Divide the result from step 1 by the numerical coefficient in the denominator: 39.2 ÷ 2.45 = 16.
Step 4: Subtract the power of 10 in the denominator from the power of 10 in the numerator: 10^11 divided by 10^6 equals 10^(11-6) = 10^5.
Therefore, the simplified expression is 16 x 10^5, written as 1.6 x 10^6.
So, your answer of 1.6 x 10^6 is correct.